Computational and Analytic Methods in Science and Engineering - Info and Reading Options

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Intro -- Preface -- Contents -- Contributors -- 1 New Numerical Results for the Optimization of Neumann Eigenvalues -- 1.1 Introduction -- 1.1.1 Contribution -- 1.1.2 Outline -- 1.2 Computation of Eigenvalues -- 1.2.1 The Boundary Element Method -- Handling of the Singular Kernel -- Exploiting Symmetries of the Domain -- 1.2.2 Beyn's Contour Integral Method -- 1.2.3 Parallelization -- 1.3 Optimization of Eigenvalues -- 1.4 Conclusion -- References -- 2 Transient Convection-Diffusion-Reaction Problems with Variable Velocity Field by Means of DRBEM with Different Radial Basis Functions -- 2.1 Introduction -- 2.2 Governing Equation -- 2.3 BEM Formulation of Transient Convection-Diffusion-Reaction Problems -- 2.4 Standard Approach: DRBEM -- 2.5 Discretization -- 2.6 Handling Convective Terms -- 2.7 Time Marching Solution Scheme -- 2.8 The Choice of Radial Basis Functions -- 2.9 Numerical Results and Discussions -- 2.9.1 Transient Convection-Diffusion-Reaction over a Square Channel with Time-Dependent Dirichlet Boundary Conditions and Tangential Velocity Field -- 2.9.2 Transient Convection-Diffusion-Reaction Problem over Rectangular Region with Mixed (Neumann-Dirichlet) Boundary Conditions -- 2.10 Concluding Remarks -- References -- 3 On a Parametric Representation of the Angular Neutron Flux in the Energy Range from 1eV to 10MeV -- 3.1 Introduction -- 3.2 The Simulation -- 3.3 Results -- 3.4 Conclusion -- References -- 4 A Boundary Integral Equation Formulation for Advection-Diffusion-Reaction Problems with Point Sources -- 4.1 Introduction -- 4.2 Mathematical Formulation -- 4.3 Numerical Implementation -- 4.3.1 Discretization and Matrix System -- 4.3.2 Numerical Integration -- 4.3.3 Analytic Treatment of the Source Term -- 4.4 Benchmark Case -- 4.4.1 Concentration Profiles for Various Peclet Numbers -- 4.4.2 Mesh Size Sensitivity

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